Answer:
m= 1/7
Step-by-step explanation:
To solve for slope: y2- y1/ x2- x1 so,
1-2/ -2-5
= -1/ -7
= 1/7
Answer:
...what?
Step-by-step explanation:
≥≧≦≤
.^◡^.
<em>aM gObLiN gImMiE yE pOiNtS! </em> ( thanks )
<h3>
Answer: 375</h3>
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Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
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As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
Answer:
Multiply the number of inches on the map times the scale to determine the true distance. For example, if the distance on the map was 5.5 inches and the scale was 1:6,336,000, the true distance would be 550 miles. To convert an area, convert the dimensions using the scale and then find the true area.
Answer:
Step-by-step explanation:
So we have the equation:
First, let's distribute the negative:
Combine like terms:
Subtract or add:
Subtract 6 from both sides:
Divide both sides by 3:
And we're done!
